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Verification solution for partial heating of rectangular solids

delete2004-09-01
delete41
PRE
AI
J
James V. Beck *
A
A. Haji‐Sheikh
D
D. E. Amos
D
David H. Y. Yen
DOI:10.1016/j.ijheatmasstransfer.2004.04.021delete
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摘要

摘要

En 中文
One method for verification of numerical solutions in heat transfer uses exact solutions for multi-dimensional parallelepipeds. The usual solution of these problems utilizes the method of separation of variables for both the steady and transient parts of the solution; however, this method for the steady-state part often produces solutions that converge slowly at the boundaries of greatest interest. Steady-state solutions having low convergence are illustrated for a rectangle with zero prescribed temperatures except one surface having a step change of temperature. Two forms of the steady-state solution are available and even then difficulties may be encountered. Another method called time-partitioning is used and is shown to have several superior features in the solution of this problem. (C) 2004 Elsevier Ltd. All rights reserved.
Keyword:
EXPONENTIAL INTEGRALS
CONDUCTION

期刊

International Journal of Heat and Mass Transfer 封面图
International Journal of Heat and Mass Transfer
IF:
5.8
论文数:
2.6W
被引数:
10.2W

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